Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods |
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Authors: | Shanghui Jia Hehu Xie Xiaobo Yin Shaoqin Gao |
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Institution: | (1) School of Applied Mathematics, Central University of Finance and Economics, Beijing, 100081, P.R.China;(2) LSEC, ICMSEC, Academy of Mathematics and Systems Science, CAS, Beijing, 100190, P.R.China;(3) College of Mathematics and Computer, Hebei University, Baoding, 071002, P.R.China |
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Abstract: | In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain
full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions
for two nonconforming finite elements, Q
1rot and EQ
1rot. Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we
can improve the accuracy of the eigenvalue approximations.
This project is supported in part by the National Natural Science Foundation of China (10471103) and is subsidized by the
National Basic Research Program of China under the grant 2005CB321701. |
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Keywords: | Stokes eigenvalue problem stream function-vorticity-pressure method asymptotic expansion extrapolation a posteriori error estimates nonconforming finite element methods |
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